8205221 has 2 divisors, whose sum is σ = 8205222. Its totient is φ = 8205220.

The previous prime is 8205199. The next prime is 8205233. The reversal of 8205221 is 1225028.

8205221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5692996 + 2512225 = 2386^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 8205221 - 2¹⁸ = 7943077 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8205193 and 8205202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8205251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4102610 + 4102611.

It is an arithmetic number, because the mean of its divisors is an integer number (4102611).

Almost surely, 2^8205221 is an apocalyptic number.

It is an amenable number.

8205221 is a deficient number, since it is larger than the sum of its proper divisors (1).

8205221 is an equidigital number, since it uses as much as digits as its factorization.

8205221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 8205221 is about 2864.4756937352. The cubic root of 8205221 is about 201.6957564151.

The spelling of 8205221 in words is "eight million, two hundred five thousand, two hundred twenty-one".